The bishops can write all the letters and make all the pronouncements they want, but Nancy and others like her won’t change. Their political goals and narcissism will see to that.
The Church’s teachings mean nothing to dyed-in-the-wool cafeteria Catholics. I believe the technical term for such a person is “formal heretic.”
HERETIC. A person professing heresy. Ecclesiastical law distinguishes between a formal heretic, as one who is sinfully culpable, and a material heretic, who is not morally guilty for professing what may be objectively heretical doctrine.
HERESY. Commonly refers to a doctrinal belief held in opposition to the recognized standards of an established system of thought. Theologically it means an opinion at variance with the authorized teachings of any church, notably the Christian, and especially when this promotes separation from the main body of faithful believers.
In the Roman Catholic Church, heresy has a very specific meaning. Anyone who, after receiving baptism, while remaining nominally a Christian, pertinaciously denies or doubts any of the truths that must be believed with divine and Catholic faith is considered a heretic. Accordingly four elements must be verified to constitute formal heresy; previous valid baptism, which need not have been in the Catholic Church; external profession of still being a Christian, otherwise a person becomes an apostate; outright denial or positive doubt regarding a truth that the Catholic Church has actually proposed as revealed by God; and the disbelief must be morally culpable, where a nominal Christian refuses to accept what he knows is a doctrinal imperative.
Objectively, therefore, to become a heretic in the strict canonical sense and be excommunicated from the faithful, one must deny or question a truth that is taught not merely on the authority of the Church but on the word of God revealed in the Scriptures or sacred tradition. Subjectively a person must recognize his obligation to believe. If he acts in good faith, as with most persons brought up in non-Catholic surroundings, the heresy is only material and implies neither guilt nor sin against faith. (Etym. Latin haeresis, from the Greek hairesis, a taking, choice, sect, heresy.)
therealpresence.org/cgi-bin/getdefinition.pl